11406216461232 has 80 divisors (see below), whose sum is σ = 31057264931040. Its totient is φ = 3601702680576.

The previous prime is 11406216461083. The next prime is 11406216461257. The reversal of 11406216461232 is 23216461260411.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 77229253 + ... + 77376804.

It is an arithmetic number, because the mean of its divisors is an integer number (388215811638).

Almost surely, 2^{11406216461232} is an apocalyptic number.

11406216461232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11406216461232 is an abundant number, since it is smaller than the sum of its proper divisors (19651048469808).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11406216461232 is a wasteful number, since it uses less digits than its factorization.

11406216461232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154606150 (or 154606144 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 39.

The spelling of 11406216461232 in words is "eleven trillion, four hundred six billion, two hundred sixteen million, four hundred sixty-one thousand, two hundred thirty-two".